{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "95a745b5",
   "metadata": {},
   "source": [
    "# 理想方波的傅里叶级数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "478f9f1c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 定义方波函数\n",
    "def square_wave(t, T, amplitude=1):\n",
    "    return amplitude * np.sign(np.sin(2 * np.pi * t / T))\n",
    "\n",
    "# 设置方波周期和时间范围\n",
    "T = 2\n",
    "t = np.linspace(-T/2, T/2, 1000)\n",
    "\n",
    "# 计算方波的傅里叶级数系数\n",
    "def fourier_series_coefficients(T, n_max):\n",
    "    coefficients = []\n",
    "    for n in range(1, n_max + 1):\n",
    "        if n % 2 == 1:\n",
    "            coefficients.append(4 / (n * np.pi))\n",
    "        else:\n",
    "            coefficients.append(0)\n",
    "    return coefficients\n",
    "\n",
    "# 计算傅里叶级数的部分和\n",
    "def fourier_series_sum(t, T, coefficients, n_max):\n",
    "    series_sum = np.zeros_like(t)\n",
    "    for n in range(1, n_max + 1):\n",
    "        series_sum += coefficients[n - 1] * np.sin(2 * np.pi * n * t / T)\n",
    "    return series_sum\n",
    "\n",
    "# 不同项数的傅里叶级数部分\n",
    "n_max_values = [1, 3, 5, 10, 50]\n",
    "for n_max in n_max_values:\n",
    "    coefficients = fourier_series_coefficients(T, n_max)\n",
    "    series_sum = fourier_series_sum(t, T, coefficients, n_max)\n",
    "\n",
    "    plt.plot(t, series_sum, label=f'N = {n_max}')\n",
    "\n",
    "plt.plot(t, square_wave(t, T), 'k', label='Original Square Wave')\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Amplitude')\n",
    "plt.title('Fourier Series Approximation of Square Wave')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f7884cd",
   "metadata": {},
   "source": [
    "# 弦波的傅里叶转化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7b58cf0d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 定义弦波函数\n",
    "def cos_wave(t, A, f):\n",
    "    return A * np.cos(2 * np.pi * f * t)\n",
    "\n",
    "# 弦波的参数\n",
    "A = 1  # 振幅\n",
    "f = 5  # 频率\n",
    "t = np.linspace(-1, 1, 1000)  # 时间范围\n",
    "\n",
    "# 生成弦波信号\n",
    "cos_wave_signal = cos_wave(t, A, f)\n",
    "\n",
    "# 计算傅里叶变换\n",
    "fourier_transform = np.fft.fft(cos_wave_signal)\n",
    "\n",
    "# 计算频率轴\n",
    "frequencies = np.fft.fftfreq(len(t), t[1] - t[0])\n",
    "\n",
    "# 时间域的弦波信号\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(t, cos_wave_signal)\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Amplitude')\n",
    "plt.title('Cosine Wave in Time Domain')\n",
    "\n",
    "# 频率域的傅里叶变换结果（取绝对值）\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.plot(frequencies, np.abs(fourier_transform))\n",
    "plt.xlabel('Frequency')\n",
    "plt.ylabel('Magnitude')\n",
    "plt.title('Fourier Transform of Cosine Wave in Frequency Domain')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e8f0532d",
   "metadata": {},
   "source": [
    "# 理想脉冲波的傅里叶转换"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9a5e4db1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 定义理想脉冲波函数\n",
    "def ideal_pulse(t, A, T):\n",
    "    return np.where((t >= -T/2) & (t <= T/2), A, 0)\n",
    "\n",
    "# 理想脉冲波的参数\n",
    "A = 1  # 振幅\n",
    "T = 2  # 脉冲宽度\n",
    "t = np.linspace(-5, 5, 200)  # 时间范围\n",
    "\n",
    "# 生成理想脉冲波信号\n",
    "ideal_pulse_signal = ideal_pulse(t, A, T)\n",
    "\n",
    "fourier_transform = np.fft.fft(ideal_pulse_signal)\n",
    "\n",
    "# 计算频率轴\n",
    "frequencies = np.fft.fftfreq(len(t), t[1] - t[0])\n",
    "\n",
    "# 时间域的理想脉冲波信号\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(t, ideal_pulse_signal)\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Amplitude')\n",
    "plt.title('Ideal Pulse Wave in Time Domain')\n",
    "\n",
    "# 频率域的傅里叶变换结果（取绝对值）\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.plot(frequencies, np.abs(fourier_transform))\n",
    "plt.xlabel('Frequency')\n",
    "plt.ylabel('Magnitude')\n",
    "plt.title('Fourier Transform of Ideal Pulse Wave in Frequency Domain')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "222638fd",
   "metadata": {},
   "source": [
    "# 高斯函数的傅里叶变换"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c829b9f0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 定义高斯函数\n",
    "def gaussian_function(t, sigma):\n",
    "    return np.exp(-t ** 2 / (2 * sigma ** 2))\n",
    "\n",
    "# 高斯函数的标准差参数\n",
    "sigma_values = [1, 2, 3]\n",
    "\n",
    "# 生成时间轴\n",
    "t = np.linspace(-7, 7, 300)\n",
    "\n",
    "fig, axs = plt.subplots(len(sigma_values), 2, figsize=(10, 5))\n",
    "\n",
    "# 对不同标准差的高斯函数进行处理\n",
    "for i, sigma in enumerate(sigma_values):\n",
    "    # 生成高斯函数信号\n",
    "    gaussian_signal = gaussian_function(t, sigma)\n",
    "\n",
    "    # 计算傅里叶变换\n",
    "    fourier_transform = np.fft.fft(gaussian_signal)\n",
    "\n",
    "    # 计算频率轴\n",
    "    frequencies = np.fft.fftfreq(len(t), t[1] - t[0])\n",
    "\n",
    "    # 时间域的高斯函数\n",
    "    axs[i, 0].plot(t, gaussian_signal)\n",
    "    axs[i, 0].set_xlabel('Time')\n",
    "    axs[i, 0].set_ylabel('Amplitude')\n",
    "    axs[i, 0].set_title(f'Gaussian Function (σ={sigma}) in Time Domain')\n",
    "\n",
    "    # 频率域的傅里叶变换结果（取绝对值）\n",
    "    axs[i, 1].plot(frequencies, np.abs(fourier_transform))\n",
    "    axs[i, 1].set_xlabel('Frequency')\n",
    "    axs[i, 1].set_ylabel('Magnitude')\n",
    "    axs[i, 1].set_title(f'Fourier Transform of Gaussian (σ={sigma}) in Frequency Domain')\n",
    "\n",
    "plt.subplots_adjust(wspace=0.4)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce8ed055",
   "metadata": {},
   "source": [
    "# 离散信号的傅里叶变换与逆变换"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9da44fbc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "离散傅里叶变换（DFT）结果： [10.+0.00000000e+00j -2.+2.00000000e+00j -2.-9.79717439e-16j\n",
      " -2.-2.00000000e+00j]\n",
      "离散傅里叶逆变换（IDFT）结果： [1.-5.55111512e-16j 2.-2.77555756e-16j 3.-1.11022302e-16j\n",
      " 4.+2.77555756e-16j]\n",
      "逆变换结果与原离散信号序列一致（精确到小数点后两位）。\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "# 定义离散数字信号\n",
    "x = np.array([1, 2, 3, 4])\n",
    "\n",
    "# 计算离散傅里叶变换（DFT）\n",
    "def dft(x):\n",
    "    N = len(x)\n",
    "    X = np.zeros(N, dtype=complex)\n",
    "    for k in range(N):\n",
    "        for n in range(N):\n",
    "            X[k] += x[n] * np.exp(-2j * np.pi * k * n / N)\n",
    "    return X\n",
    "\n",
    "# 计算离散傅里叶逆变换（IDFT）\n",
    "def idft(X):\n",
    "    N = len(X)\n",
    "    x = np.zeros(N, dtype=complex)\n",
    "    for n in range(N):\n",
    "        for k in range(N):\n",
    "            x[n] += X[k] * np.exp(2j * np.pi * k * n / N) / N\n",
    "    return x\n",
    "\n",
    "# 计算DFT\n",
    "X = dft(x)\n",
    "print(\"离散傅里叶变换（DFT）结果：\", X)\n",
    "\n",
    "# 计算IDFT\n",
    "x_hat = idft(X)\n",
    "print(\"离散傅里叶逆变换（IDFT）结果：\", x_hat)\n",
    "\n",
    "# 验证逆变换结果与原信号是否一致（精确到小数点后两位）\n",
    "if np.allclose(x, np.real(x_hat), atol=1e-2):\n",
    "    print(\"逆变换结果与原离散信号序列一致（精确到小数点后两位）。\")\n",
    "else:\n",
    "    print(\"逆变换结果与原离散信号序列不一致（精确到小数点后两位）。\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:deeplearing]",
   "language": "python",
   "name": "conda-env-deeplearing-py"
  },
  "language_info": {
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